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Finding the Third Proportional to 744,504 and 1,614,972

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Solution

The third proportional to 744,504 and 1,614,972 is: 3,503,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,504 : 1,614,972 = 1,614,972 : x
  2. Step 2: Convert to fraction form
    744,504/1,614,972 = 1,614,972/x
  3. Step 3: Cross multiply
    744,504x = 1,614,972 × 1,614,972
  4. Step 4: Simplify right side
    744,504x = 2,608,134,560,784
  5. Step 5: Solve for x
    x = 2,608,134,560,784/744,504
  6. Step 6: Final answer
    x = 3,503,184.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.